a(n)*a(n+3) - a(n+1)*a(n+2) = 2^n, given a(0)=1, a(1)=2, a(2)=10.

Terms

a(0) =1a(1) =2a(2) =10a(3) =21a(4) =106a(5) =223a(6) =1126a(7) =2369a(8) =11962a(9) =25167a(10) =127078a(11) =267361a(12) =1350010a(13) =2840303a(14) =14341798a(15) =30173889a(16) =152359738a(17) =320551567a(18) =1618589926a(19) =3405371681a(20) =17195050234a(21) =36176882223a(22) =182671192870a(23) =384324217729